{
  "annotation_id": "334ba8f1-7dbd-484c-82a3-cf2f90635912",
  "date_created": "2026-03-02T18:01:55.591000Z",
  "date_modified": "2026-03-02T18:01:55.591000Z",
  "file_hash": "cf61d38d33b2eaa17688a48061201b0f5ee57136bb5aee0aa8497203e6031b84",
  "private": false,
  "record": {
    "abstract": "We demonstrate that the Chebyshev expansion method is a very efficient\nnumerical tool for studying spin-bath decoherence of quantum systems. We\nconsider two typical problems arising in studying decoherence of quantum\nsystems consisting of few coupled spins: (i) determining the pointer states of\nthe system, and (ii) determining the temporal decay of quantum oscillations. As\nour results demonstrate, for determining the pointer states, the\nChebyshev-based scheme is at least a factor of 8 faster than existing\nalgorithms based on the Suzuki-Trotter decomposition. For the problems of\nsecond type, the Chebyshev-based approach has been 3--4 times faster than the\nSuzuki-Trotter-based schemes. This conclusion holds qualitatively for a wide\nspectrum of systems, with different spin baths and different Hamiltonians.",
    "arxiv_id": "quant-ph/0301130",
    "authors": [
      "V. V. Dobrovitski",
      "H. A. De Raedt"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevE.67.056702",
    "title": "An efficient scheme for numerical simulations of the spin-bath   decoherence",
    "url": "https://arxiv.org/abs/quant-ph/0301130"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ed06aba2-1189-42fb-af7d-2c5e71d76dad",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}